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Finding the Third Proportional to 134,547.75 and 210,009.38

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Solution

The third proportional to 134,547.75 and 210,009.38 is: 327,793.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,547.75 : 210,009.38 = 210,009.38 : x
  2. Step 2: Convert to fraction form
    134,547.75/210,009.38 = 210,009.38/x
  3. Step 3: Cross multiply
    134,547.75x = 210,009.38 × 210,009.38
  4. Step 4: Simplify right side
    134,547.75x = 44,103,937,587.89
  5. Step 5: Solve for x
    x = 44,103,937,587.89/134,547.75
  6. Step 6: Final answer
    x = 327,793.94

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.